Least Common Multiple of 4483 and 4489

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4483 and 4489 the smallest integer that is 20124187 that is divisible by both numbers.

Least Common Multiple (LCM) of 4483 and 4489 is 20124187.

LCM(4483,4489) = 20124187

LCM of 4483 and 4489

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 4483 and 4489

LCM of 4483 and 4489 is 20124187

Least common multiple can be found by multiplying the highest exponent prime factors of 4483 and 4489. First we will calculate the prime factors of 4483 and 4489.

Prime Factorization of 4483


4483 4483
1

Prime factors of 4483 are 4483. Prime factorization of 4483 in exponential form is:

4483 = 44831

Prime Factorization of 4489


67 4489
67 67
1

Prime factors of 4489 are 67. Prime factorization of 4489 in exponential form is:

4489 = 672

Now multiplying the highest exponent prime factors to calculate the LCM of 4483 and 4489.

LCM(4483,4489) = 672×44831
LCM(4483,4489) = 20124187

Factors of 4483

List of positive integer factors of 4483 that divides 4483 without a remainder.

1, 4483

Factors of 4489

List of positive integer factors of 4489 that divides 4489 without a remainder.

1, 67, 4489

Least Common Multiple of 4483 and 4489 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4483 and 4489, than apply into the LCM equation.

GCF(4483,4489) = 1
LCM(4483,4489) = ( 4483 × 4489) / 1
LCM(4483,4489) = 20124187 / 1
LCM(4483,4489) = 20124187

Properties of LCM 4483 and 4489

(i) The LCM of 4489 and 4483 is associative

LCM of 4483 and 4489 = LCM of 4489 and 4483

Related Least Common Multiples of 4483

Related Least Common Multiples of 4489

Frequently Asked Questions on LCM of 4483 and 4489

1. What is the LCM of 4483 and 4489?

Answer: LCM of 4483 and 4489 is 20124187.

2. What are the Factors of 4483?

Answer: Factors of 4483 are 1, 4483. There are 2 integers that are factors of 4483. The greatest factor of 4483 is 4483.

3. What are the Factors of 4489?

Answer: Factors of 4489 are 1, 67, 4489. There are 3 integers that are factors of 4489. The greatest factor of 4489 is 4489.

4. How to Find the LCM of 4483 and 4489?

Answer:

Least Common Multiple of 4483 and 4489 = 20124187

Step 1: Find the prime factorization of 4483

4483 = 4483

Step 2: Find the prime factorization of 4489

4489 = 67 x 67

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 20124187 = 67 x 67 x 4483

Step 4: Therefore, the least common multiple of 4483 and 4489 is 20124187.